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Finding the Fourth Proportional to 731,972,605,059.30, 1,097,958,907,589 and 731,972,605,059.30

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Solution

The fourth proportional to 731,972,605,059.30, 1,097,958,907,589 and 731,972,605,059.30 is: 1,097,958,907,589

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,972,605,059.30 : 1,097,958,907,589 = 731,972,605,059.30 : x
  2. Step 2: Convert to fraction form
    731,972,605,059.30/1,097,958,907,589 = 731,972,605,059.30/x
  3. Step 3: Cross multiply
    731,972,605,059.30x = 1,097,958,907,589 × 731,972,605,059.30
  4. Step 4: Simplify right side
    731,972,605,059.30x = 803,675,841,835,983,630,761,984
  5. Step 5: Solve for x
    x = 803,675,841,835,983,630,761,984/731,972,605,059.30
  6. Step 6: Final answer
    x = 1,097,958,907,589

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.